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<div class="title">ParametrizedLine.h</div>  </div>
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<div class="contents">
<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="comment">// This file is part of Eigen, a lightweight C++ template library</span></div>
<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="comment">// for linear algebra.</span></div>
<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="comment">// Copyright (C) 2008 Gael Guennebaud &lt;gael.guennebaud@inria.fr&gt;</span></div>
<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="comment">// Copyright (C) 2008 Benoit Jacob &lt;jacob.benoit.1@gmail.com&gt;</span></div>
<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="comment">// This Source Code Form is subject to the terms of the Mozilla</span></div>
<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="comment">// Public License v. 2.0. If a copy of the MPL was not distributed</span></div>
<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="comment">// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.</span></div>
<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160; </div>
<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#ifndef EIGEN_PARAMETRIZEDLINE_H</span></div>
<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#define EIGEN_PARAMETRIZEDLINE_H</span></div>
<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160; </div>
<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &quot;./InternalHeaderCheck.h&quot;</span></div>
<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160; </div>
<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespaceEigen.html">Eigen</a> { </div>
<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160; </div>
<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> Scalar_, <span class="keywordtype">int</span> AmbientDim_, <span class="keywordtype">int</span> Options_&gt;</div>
<div class="line"><a name="l00032"></a><span class="lineno"><a class="line" href="classEigen_1_1ParametrizedLine.html">   32</a></span>&#160;<span class="keyword">class </span><a class="code" href="classEigen_1_1ParametrizedLine.html">ParametrizedLine</a></div>
<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;{</div>
<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;  EIGEN_MAKE_ALIGNED_OPERATOR_NEW_IF_VECTORIZABLE_FIXED_SIZE(Scalar_,AmbientDim_)</div>
<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;    AmbientDimAtCompileTime = AmbientDim_,</div>
<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;    Options = Options_</div>
<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;  };</div>
<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;  <span class="keyword">typedef</span> Scalar_ Scalar;</div>
<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structEigen_1_1NumTraits.html">NumTraits&lt;Scalar&gt;::Real</a> RealScalar;</div>
<div class="line"><a name="l00042"></a><span class="lineno"><a class="line" href="classEigen_1_1ParametrizedLine.html#aeb60632eeeb692b0365a4c03ecf0d72c">   42</a></span>&#160;  <span class="keyword">typedef</span> <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Eigen::Index</a> <a class="code" href="classEigen_1_1ParametrizedLine.html#aeb60632eeeb692b0365a4c03ecf0d72c">Index</a>; </div>
<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;  <span class="keyword">typedef</span> <a class="code" href="classEigen_1_1Matrix.html">Matrix&lt;Scalar,AmbientDimAtCompileTime,1,Options&gt;</a> <a class="code" href="classEigen_1_1Matrix.html">VectorType</a>;</div>
<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160; </div>
<div class="line"><a name="l00046"></a><span class="lineno"><a class="line" href="classEigen_1_1ParametrizedLine.html#ad2300dd760776c26e96b5b5e129eac2e">   46</a></span>&#160;  EIGEN_DEVICE_FUNC <span class="keyword">inline</span> <a class="code" href="classEigen_1_1ParametrizedLine.html#ad2300dd760776c26e96b5b5e129eac2e">ParametrizedLine</a>() {}</div>
<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;  </div>
<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;  <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> OtherOptions&gt;</div>
<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;  EIGEN_DEVICE_FUNC <a class="code" href="classEigen_1_1ParametrizedLine.html#ad2300dd760776c26e96b5b5e129eac2e">ParametrizedLine</a>(<span class="keyword">const</span> <a class="code" href="classEigen_1_1ParametrizedLine.html">ParametrizedLine&lt;Scalar,AmbientDimAtCompileTime,OtherOptions&gt;</a>&amp; other)</div>
<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;   : m_origin(other.origin()), m_direction(other.direction())</div>
<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;  {}</div>
<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160; </div>
<div class="line"><a name="l00055"></a><span class="lineno"><a class="line" href="classEigen_1_1ParametrizedLine.html#ab6608856794d170ac53219bf71dd8cb5">   55</a></span>&#160;  EIGEN_DEVICE_FUNC <span class="keyword">inline</span> <span class="keyword">explicit</span> <a class="code" href="classEigen_1_1ParametrizedLine.html#ab6608856794d170ac53219bf71dd8cb5">ParametrizedLine</a>(<a class="code" href="classEigen_1_1ParametrizedLine.html#aeb60632eeeb692b0365a4c03ecf0d72c">Index</a> _dim) : m_origin(_dim), m_direction(_dim) {}</div>
<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160; </div>
<div class="line"><a name="l00060"></a><span class="lineno"><a class="line" href="classEigen_1_1ParametrizedLine.html#ab588d358f68479862a882fd3ee8b9fe9">   60</a></span>&#160;  EIGEN_DEVICE_FUNC <a class="code" href="classEigen_1_1ParametrizedLine.html#ab588d358f68479862a882fd3ee8b9fe9">ParametrizedLine</a>(<span class="keyword">const</span> <a class="code" href="classEigen_1_1Matrix.html">VectorType</a>&amp; origin, <span class="keyword">const</span> <a class="code" href="classEigen_1_1Matrix.html">VectorType</a>&amp; direction)</div>
<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;    : m_origin(origin), m_direction(direction) {}</div>
<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160; </div>
<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;  <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> OtherOptions&gt;</div>
<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;  EIGEN_DEVICE_FUNC <span class="keyword">explicit</span> <a class="code" href="classEigen_1_1ParametrizedLine.html#ad2300dd760776c26e96b5b5e129eac2e">ParametrizedLine</a>(<span class="keyword">const</span> <a class="code" href="classEigen_1_1Hyperplane.html">Hyperplane&lt;Scalar_, AmbientDim_, OtherOptions&gt;</a>&amp; hyperplane);</div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160; </div>
<div class="line"><a name="l00067"></a><span class="lineno"><a class="line" href="classEigen_1_1ParametrizedLine.html#ad6c26492142e8d681d707db7865e822c">   67</a></span>&#160;  EIGEN_DEVICE_FUNC <span class="keyword">static</span> <span class="keyword">inline</span> <a class="code" href="classEigen_1_1ParametrizedLine.html">ParametrizedLine</a> <a class="code" href="classEigen_1_1ParametrizedLine.html#ad6c26492142e8d681d707db7865e822c">Through</a>(<span class="keyword">const</span> <a class="code" href="classEigen_1_1Matrix.html">VectorType</a>&amp; p0, <span class="keyword">const</span> <a class="code" href="classEigen_1_1Matrix.html">VectorType</a>&amp; p1)</div>
<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;  { <span class="keywordflow">return</span> <a class="code" href="classEigen_1_1ParametrizedLine.html#ad2300dd760776c26e96b5b5e129eac2e">ParametrizedLine</a>(p0, (p1-p0).normalized()); }</div>
<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160; </div>
<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;  EIGEN_DEVICE_FUNC ~<a class="code" href="classEigen_1_1ParametrizedLine.html">ParametrizedLine</a>() {}</div>
<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160; </div>
<div class="line"><a name="l00073"></a><span class="lineno"><a class="line" href="classEigen_1_1ParametrizedLine.html#ae34deb1c6e8cd98e31b7b9b5871a1759">   73</a></span>&#160;  EIGEN_DEVICE_FUNC <span class="keyword">inline</span> <a class="code" href="classEigen_1_1ParametrizedLine.html#aeb60632eeeb692b0365a4c03ecf0d72c">Index</a> <a class="code" href="classEigen_1_1ParametrizedLine.html#ae34deb1c6e8cd98e31b7b9b5871a1759">dim</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_direction.size(); }</div>
<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160; </div>
<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;  EIGEN_DEVICE_FUNC <span class="keyword">const</span> VectorType&amp; origin()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_origin; }</div>
<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;  EIGEN_DEVICE_FUNC VectorType&amp; origin() { <span class="keywordflow">return</span> m_origin; }</div>
<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160; </div>
<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;  EIGEN_DEVICE_FUNC <span class="keyword">const</span> VectorType&amp; direction()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_direction; }</div>
<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;  EIGEN_DEVICE_FUNC VectorType&amp; direction() { <span class="keywordflow">return</span> m_direction; }</div>
<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160; </div>
<div class="line"><a name="l00084"></a><span class="lineno"><a class="line" href="classEigen_1_1ParametrizedLine.html#a332f980f0af15646777a876340546401">   84</a></span>&#160;  EIGEN_DEVICE_FUNC RealScalar <a class="code" href="classEigen_1_1ParametrizedLine.html#a332f980f0af15646777a876340546401">squaredDistance</a>(<span class="keyword">const</span> <a class="code" href="classEigen_1_1Matrix.html">VectorType</a>&amp; p)<span class="keyword"> const</span></div>
<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;<span class="keyword">  </span>{</div>
<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;    <a class="code" href="classEigen_1_1Matrix.html">VectorType</a> diff = p - origin();</div>
<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;    <span class="keywordflow">return</span> (diff - direction().dot(diff) * direction()).squaredNorm();</div>
<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;  }</div>
<div class="line"><a name="l00092"></a><span class="lineno"><a class="line" href="classEigen_1_1ParametrizedLine.html#a38c62d80ddbd2b530100748426fd0a3f">   92</a></span>&#160;  EIGEN_DEVICE_FUNC RealScalar <a class="code" href="classEigen_1_1ParametrizedLine.html#a38c62d80ddbd2b530100748426fd0a3f">distance</a>(<span class="keyword">const</span> <a class="code" href="classEigen_1_1Matrix.html">VectorType</a>&amp; p)<span class="keyword"> const </span>{ EIGEN_USING_STD(<a class="code" href="namespaceEigen.html#af4f536e8ea56702e63088efb3706d1f0">sqrt</a>) <span class="keywordflow">return</span> <a class="code" href="namespaceEigen.html#af4f536e8ea56702e63088efb3706d1f0">sqrt</a>(<a class="code" href="classEigen_1_1ParametrizedLine.html#a332f980f0af15646777a876340546401">squaredDistance</a>(p)); }</div>
<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160; </div>
<div class="line"><a name="l00095"></a><span class="lineno"><a class="line" href="classEigen_1_1ParametrizedLine.html#afbc8c2442060c46c4ab0ec87572cbc9f">   95</a></span>&#160;  EIGEN_DEVICE_FUNC <a class="code" href="classEigen_1_1Matrix.html">VectorType</a> <a class="code" href="classEigen_1_1ParametrizedLine.html#afbc8c2442060c46c4ab0ec87572cbc9f">projection</a>(<span class="keyword">const</span> <a class="code" href="classEigen_1_1Matrix.html">VectorType</a>&amp; p)<span class="keyword"> const</span></div>
<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;<span class="keyword">  </span>{ <span class="keywordflow">return</span> origin() + direction().dot(p-origin()) * direction(); }</div>
<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160; </div>
<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;  EIGEN_DEVICE_FUNC VectorType <a class="code" href="classEigen_1_1ParametrizedLine.html#accb862e4ad30f9e5bd87389c3f38d555">pointAt</a>(<span class="keyword">const</span> Scalar&amp; t) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;  </div>
<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;  <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> OtherOptions&gt;</div>
<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;  EIGEN_DEVICE_FUNC Scalar intersectionParameter(<span class="keyword">const</span> <a class="code" href="classEigen_1_1Hyperplane.html">Hyperplane&lt;Scalar_, AmbientDim_, OtherOptions&gt;</a>&amp; hyperplane) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160; </div>
<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;  <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> OtherOptions&gt;</div>
<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;  EIGEN_DEVICE_FUNC Scalar intersection(<span class="keyword">const</span> <a class="code" href="classEigen_1_1Hyperplane.html">Hyperplane&lt;Scalar_, AmbientDim_, OtherOptions&gt;</a>&amp; hyperplane) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160; </div>
<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;  <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> OtherOptions&gt;</div>
<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;  EIGEN_DEVICE_FUNC VectorType <a class="code" href="classEigen_1_1ParametrizedLine.html#a6038ca12a214274c2b1e704b297f5853">intersectionPoint</a>(<span class="keyword">const</span> <a class="code" href="classEigen_1_1Hyperplane.html">Hyperplane&lt;Scalar_, AmbientDim_, OtherOptions&gt;</a>&amp; hyperplane) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160; </div>
<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> XprType&gt;</div>
<div class="line"><a name="l00116"></a><span class="lineno"><a class="line" href="classEigen_1_1ParametrizedLine.html#a29d75ba8bbc06d40bdfd8b468f1c42f3">  116</a></span>&#160;  EIGEN_DEVICE_FUNC <span class="keyword">inline</span> <a class="code" href="classEigen_1_1ParametrizedLine.html">ParametrizedLine</a>&amp; <a class="code" href="classEigen_1_1ParametrizedLine.html#a29d75ba8bbc06d40bdfd8b468f1c42f3">transform</a>(<span class="keyword">const</span> <a class="code" href="classEigen_1_1MatrixBase.html">MatrixBase&lt;XprType&gt;</a>&amp; mat, <a class="code" href="group__enums.html#gaee59a86102f150923b0cac6d4ff05107">TransformTraits</a> traits = <a class="code" href="group__enums.html#ggaee59a86102f150923b0cac6d4ff05107a0872f0a82453aaae40339c33acbb31fb">Affine</a>)</div>
<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;  {</div>
<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;    <span class="keywordflow">if</span> (traits==<a class="code" href="group__enums.html#ggaee59a86102f150923b0cac6d4ff05107a0872f0a82453aaae40339c33acbb31fb">Affine</a>)</div>
<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;      direction() = (mat * direction()).normalized();</div>
<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;    <span class="keywordflow">else</span> <span class="keywordflow">if</span> (traits==<a class="code" href="group__enums.html#ggaee59a86102f150923b0cac6d4ff05107a84413028615d2d718bafd2dfb93dafef">Isometry</a>)</div>
<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;      direction() = mat * direction();</div>
<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;    <span class="keywordflow">else</span></div>
<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;    {</div>
<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;      eigen_assert(0 &amp;&amp; <span class="stringliteral">&quot;invalid traits value in ParametrizedLine::transform()&quot;</span>);</div>
<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;    }</div>
<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;    origin() = mat * origin();</div>
<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;    <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;  }</div>
<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160; </div>
<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;  <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> TrOptions&gt;</div>
<div class="line"><a name="l00138"></a><span class="lineno"><a class="line" href="classEigen_1_1ParametrizedLine.html#a195f8713ab2ada49a818677b6a8f56a3">  138</a></span>&#160;  EIGEN_DEVICE_FUNC <span class="keyword">inline</span> <a class="code" href="classEigen_1_1ParametrizedLine.html">ParametrizedLine</a>&amp; <a class="code" href="classEigen_1_1ParametrizedLine.html#a195f8713ab2ada49a818677b6a8f56a3">transform</a>(<span class="keyword">const</span> <a class="code" href="classEigen_1_1Transform.html">Transform&lt;Scalar,AmbientDimAtCompileTime,Affine,TrOptions&gt;</a>&amp; t,</div>
<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;                                                       <a class="code" href="group__enums.html#gaee59a86102f150923b0cac6d4ff05107">TransformTraits</a> traits = <a class="code" href="group__enums.html#ggaee59a86102f150923b0cac6d4ff05107a0872f0a82453aaae40339c33acbb31fb">Affine</a>)</div>
<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;  {</div>
<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;    <a class="code" href="classEigen_1_1ParametrizedLine.html#a29d75ba8bbc06d40bdfd8b468f1c42f3">transform</a>(t.<a class="code" href="classEigen_1_1Transform.html#a10681d9bbc6a7a81a9111b1f9e186948">linear</a>(), traits);</div>
<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;    origin() += t.<a class="code" href="classEigen_1_1Transform.html#a539fc3e91b20a43613bfefb8a4fb8a0e">translation</a>();</div>
<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;    <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;  }</div>
<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160; </div>
<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> NewScalarType&gt;</div>
<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;  EIGEN_DEVICE_FUNC <span class="keyword">inline</span> <span class="keyword">typename</span> internal::cast_return_type&lt;<a class="code" href="classEigen_1_1ParametrizedLine.html#ad2300dd760776c26e96b5b5e129eac2e">ParametrizedLine</a>,</div>
<div class="line"><a name="l00153"></a><span class="lineno"><a class="line" href="classEigen_1_1ParametrizedLine.html#aca7d49e0b073c1a6a7b572ad686366e9">  153</a></span>&#160;           <a class="code" href="classEigen_1_1ParametrizedLine.html">ParametrizedLine&lt;NewScalarType,AmbientDimAtCompileTime,Options&gt;</a> &gt;::type <a class="code" href="classEigen_1_1ParametrizedLine.html#aca7d49e0b073c1a6a7b572ad686366e9">cast</a>()<span class="keyword"> const</span></div>
<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;<span class="keyword">  </span>{</div>
<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;    <span class="keywordflow">return</span> <span class="keyword">typename</span> internal::cast_return_type&lt;<a class="code" href="classEigen_1_1ParametrizedLine.html#ad2300dd760776c26e96b5b5e129eac2e">ParametrizedLine</a>,</div>
<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;                    <a class="code" href="classEigen_1_1ParametrizedLine.html">ParametrizedLine&lt;NewScalarType,AmbientDimAtCompileTime,Options&gt;</a> &gt;::type(*<span class="keyword">this</span>);</div>
<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;  }</div>
<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160; </div>
<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> OtherScalarType,<span class="keywordtype">int</span> OtherOptions&gt;</div>
<div class="line"><a name="l00161"></a><span class="lineno"><a class="line" href="classEigen_1_1ParametrizedLine.html#af6b280f3769b3bf531a4a1d1849d7013">  161</a></span>&#160;  EIGEN_DEVICE_FUNC <span class="keyword">inline</span> <span class="keyword">explicit</span> <a class="code" href="classEigen_1_1ParametrizedLine.html#af6b280f3769b3bf531a4a1d1849d7013">ParametrizedLine</a>(<span class="keyword">const</span> <a class="code" href="classEigen_1_1ParametrizedLine.html">ParametrizedLine&lt;OtherScalarType,AmbientDimAtCompileTime,OtherOptions&gt;</a>&amp; other)</div>
<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;  {</div>
<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;    m_origin = other.origin().template cast&lt;Scalar&gt;();</div>
<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;    m_direction = other.direction().template cast&lt;Scalar&gt;();</div>
<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;  }</div>
<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160; </div>
<div class="line"><a name="l00171"></a><span class="lineno"><a class="line" href="classEigen_1_1ParametrizedLine.html#ac7ee9bfb5ad3f1e750ed95282664cfe7">  171</a></span>&#160;  EIGEN_DEVICE_FUNC <span class="keywordtype">bool</span> <a class="code" href="classEigen_1_1ParametrizedLine.html#ac7ee9bfb5ad3f1e750ed95282664cfe7">isApprox</a>(<span class="keyword">const</span> <a class="code" href="classEigen_1_1ParametrizedLine.html">ParametrizedLine</a>&amp; other, <span class="keyword">const</span> <span class="keyword">typename</span> <a class="code" href="structEigen_1_1NumTraits.html">NumTraits&lt;Scalar&gt;::Real</a>&amp; prec = <a class="code" href="structEigen_1_1NumTraits.html">NumTraits&lt;Scalar&gt;::dummy_precision</a>())<span class="keyword"> const</span></div>
<div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;<span class="keyword">  </span>{ <span class="keywordflow">return</span> m_origin.isApprox(other.m_origin, prec) &amp;&amp; m_direction.isApprox(other.m_direction, prec); }</div>
<div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160; </div>
<div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;<span class="keyword">protected</span>:</div>
<div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160; </div>
<div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;  VectorType m_origin, m_direction;</div>
<div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160;};</div>
<div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160; </div>
<div class="line"><a name="l00183"></a><span class="lineno">  183</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> Scalar_, <span class="keywordtype">int</span> AmbientDim_, <span class="keywordtype">int</span> Options_&gt;</div>
<div class="line"><a name="l00184"></a><span class="lineno">  184</span>&#160;<span class="keyword">template</span> &lt;<span class="keywordtype">int</span> OtherOptions&gt;</div>
<div class="line"><a name="l00185"></a><span class="lineno"><a class="line" href="classEigen_1_1ParametrizedLine.html#ac9a79fc12dc163077b688a6053c9cf0f">  185</a></span>&#160;EIGEN_DEVICE_FUNC <span class="keyword">inline</span> <a class="code" href="classEigen_1_1ParametrizedLine.html#ad2300dd760776c26e96b5b5e129eac2e">ParametrizedLine&lt;Scalar_, AmbientDim_,Options_&gt;::ParametrizedLine</a>(<span class="keyword">const</span> <a class="code" href="classEigen_1_1Hyperplane.html">Hyperplane&lt;Scalar_, AmbientDim_,OtherOptions&gt;</a>&amp; hyperplane)</div>
<div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;{</div>
<div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;  EIGEN_STATIC_ASSERT_VECTOR_SPECIFIC_SIZE(<a class="code" href="classEigen_1_1Matrix.html">VectorType</a>, 2)</div>
<div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;  direction() = hyperplane.<a class="code" href="classEigen_1_1Hyperplane.html#a14ae73ebb82904dcf08c2616a9c6e483">normal</a>().unitOrthogonal();</div>
<div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;  origin() = -hyperplane.<a class="code" href="classEigen_1_1Hyperplane.html#a14ae73ebb82904dcf08c2616a9c6e483">normal</a>()*hyperplane.<a class="code" href="classEigen_1_1Hyperplane.html#a60a39dae40a9b9f76a6993762ba18f45">offset</a>();</div>
<div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160;}</div>
<div class="line"><a name="l00191"></a><span class="lineno">  191</span>&#160; </div>
<div class="line"><a name="l00194"></a><span class="lineno">  194</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> Scalar_, <span class="keywordtype">int</span> AmbientDim_, <span class="keywordtype">int</span> Options_&gt;</div>
<div class="line"><a name="l00195"></a><span class="lineno">  195</span>&#160;EIGEN_DEVICE_FUNC <span class="keyword">inline</span> <span class="keyword">typename</span> <a class="code" href="classEigen_1_1Matrix.html">ParametrizedLine&lt;Scalar_, AmbientDim_,Options_&gt;::VectorType</a></div>
<div class="line"><a name="l00196"></a><span class="lineno"><a class="line" href="classEigen_1_1ParametrizedLine.html#accb862e4ad30f9e5bd87389c3f38d555">  196</a></span>&#160;<a class="code" href="classEigen_1_1ParametrizedLine.html#accb862e4ad30f9e5bd87389c3f38d555">ParametrizedLine&lt;Scalar_, AmbientDim_,Options_&gt;::pointAt</a>(<span class="keyword">const</span> Scalar_&amp; t)<span class="keyword"> const</span></div>
<div class="line"><a name="l00197"></a><span class="lineno">  197</span>&#160;<span class="keyword"></span>{</div>
<div class="line"><a name="l00198"></a><span class="lineno">  198</span>&#160;  <span class="keywordflow">return</span> origin() + (direction()*t); </div>
<div class="line"><a name="l00199"></a><span class="lineno">  199</span>&#160;}</div>
<div class="line"><a name="l00200"></a><span class="lineno">  200</span>&#160; </div>
<div class="line"><a name="l00203"></a><span class="lineno">  203</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> Scalar_, <span class="keywordtype">int</span> AmbientDim_, <span class="keywordtype">int</span> Options_&gt;</div>
<div class="line"><a name="l00204"></a><span class="lineno">  204</span>&#160;<span class="keyword">template</span> &lt;<span class="keywordtype">int</span> OtherOptions&gt;</div>
<div class="line"><a name="l00205"></a><span class="lineno"><a class="line" href="classEigen_1_1ParametrizedLine.html#a043a43b6ca4e11f3c081f459b7b00fa4">  205</a></span>&#160;EIGEN_DEVICE_FUNC <span class="keyword">inline</span> Scalar_ <a class="code" href="classEigen_1_1ParametrizedLine.html">ParametrizedLine&lt;Scalar_, AmbientDim_,Options_&gt;::intersectionParameter</a>(<span class="keyword">const</span> <a class="code" href="classEigen_1_1Hyperplane.html">Hyperplane&lt;Scalar_, AmbientDim_, OtherOptions&gt;</a>&amp; hyperplane)<span class="keyword"> const</span></div>
<div class="line"><a name="l00206"></a><span class="lineno">  206</span>&#160;<span class="keyword"></span>{</div>
<div class="line"><a name="l00207"></a><span class="lineno">  207</span>&#160;  <span class="keywordflow">return</span> -(hyperplane.<a class="code" href="classEigen_1_1Hyperplane.html#a60a39dae40a9b9f76a6993762ba18f45">offset</a>()+hyperplane.<a class="code" href="classEigen_1_1Hyperplane.html#a14ae73ebb82904dcf08c2616a9c6e483">normal</a>().dot(origin()))</div>
<div class="line"><a name="l00208"></a><span class="lineno">  208</span>&#160;          / hyperplane.<a class="code" href="classEigen_1_1Hyperplane.html#a14ae73ebb82904dcf08c2616a9c6e483">normal</a>().dot(direction());</div>
<div class="line"><a name="l00209"></a><span class="lineno">  209</span>&#160;}</div>
<div class="line"><a name="l00210"></a><span class="lineno">  210</span>&#160; </div>
<div class="line"><a name="l00211"></a><span class="lineno">  211</span>&#160; </div>
<div class="line"><a name="l00215"></a><span class="lineno">  215</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> Scalar_, <span class="keywordtype">int</span> AmbientDim_, <span class="keywordtype">int</span> Options_&gt;</div>
<div class="line"><a name="l00216"></a><span class="lineno">  216</span>&#160;<span class="keyword">template</span> &lt;<span class="keywordtype">int</span> OtherOptions&gt;</div>
<div class="line"><a name="l00217"></a><span class="lineno"><a class="line" href="classEigen_1_1ParametrizedLine.html#a0c6c7d2cbd5618ca8f657e758cfeb472">  217</a></span>&#160;EIGEN_DEVICE_FUNC <span class="keyword">inline</span> Scalar_ <a class="code" href="classEigen_1_1ParametrizedLine.html">ParametrizedLine&lt;Scalar_, AmbientDim_,Options_&gt;::intersection</a>(<span class="keyword">const</span> <a class="code" href="classEigen_1_1Hyperplane.html">Hyperplane&lt;Scalar_, AmbientDim_, OtherOptions&gt;</a>&amp; hyperplane)<span class="keyword"> const</span></div>
<div class="line"><a name="l00218"></a><span class="lineno">  218</span>&#160;<span class="keyword"></span>{</div>
<div class="line"><a name="l00219"></a><span class="lineno">  219</span>&#160;  <span class="keywordflow">return</span> intersectionParameter(hyperplane);</div>
<div class="line"><a name="l00220"></a><span class="lineno">  220</span>&#160;}</div>
<div class="line"><a name="l00221"></a><span class="lineno">  221</span>&#160; </div>
<div class="line"><a name="l00224"></a><span class="lineno">  224</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> Scalar_, <span class="keywordtype">int</span> AmbientDim_, <span class="keywordtype">int</span> Options_&gt;</div>
<div class="line"><a name="l00225"></a><span class="lineno">  225</span>&#160;<span class="keyword">template</span> &lt;<span class="keywordtype">int</span> OtherOptions&gt;</div>
<div class="line"><a name="l00226"></a><span class="lineno">  226</span>&#160;EIGEN_DEVICE_FUNC <span class="keyword">inline</span> <span class="keyword">typename</span> <a class="code" href="classEigen_1_1Matrix.html">ParametrizedLine&lt;Scalar_, AmbientDim_,Options_&gt;::VectorType</a></div>
<div class="line"><a name="l00227"></a><span class="lineno"><a class="line" href="classEigen_1_1ParametrizedLine.html#a6038ca12a214274c2b1e704b297f5853">  227</a></span>&#160;<a class="code" href="classEigen_1_1ParametrizedLine.html#a6038ca12a214274c2b1e704b297f5853">ParametrizedLine&lt;Scalar_, AmbientDim_,Options_&gt;::intersectionPoint</a>(<span class="keyword">const</span> <a class="code" href="classEigen_1_1Hyperplane.html">Hyperplane&lt;Scalar_, AmbientDim_, OtherOptions&gt;</a>&amp; hyperplane)<span class="keyword"> const</span></div>
<div class="line"><a name="l00228"></a><span class="lineno">  228</span>&#160;<span class="keyword"></span>{</div>
<div class="line"><a name="l00229"></a><span class="lineno">  229</span>&#160;  <span class="keywordflow">return</span> pointAt(intersectionParameter(hyperplane));</div>
<div class="line"><a name="l00230"></a><span class="lineno">  230</span>&#160;}</div>
<div class="line"><a name="l00231"></a><span class="lineno">  231</span>&#160; </div>
<div class="line"><a name="l00232"></a><span class="lineno">  232</span>&#160;} <span class="comment">// end namespace Eigen</span></div>
<div class="line"><a name="l00233"></a><span class="lineno">  233</span>&#160; </div>
<div class="line"><a name="l00234"></a><span class="lineno">  234</span>&#160;<span class="preprocessor">#endif </span><span class="comment">// EIGEN_PARAMETRIZEDLINE_H</span></div>
<div class="ttc" id="aclassEigen_1_1Hyperplane_html"><div class="ttname"><a href="classEigen_1_1Hyperplane.html">Eigen::Hyperplane</a></div><div class="ttdoc">A hyperplane.</div><div class="ttdef"><b>Definition:</b> Hyperplane.h:37</div></div>
<div class="ttc" id="aclassEigen_1_1Hyperplane_html_a14ae73ebb82904dcf08c2616a9c6e483"><div class="ttname"><a href="classEigen_1_1Hyperplane.html#a14ae73ebb82904dcf08c2616a9c6e483">Eigen::Hyperplane::normal</a></div><div class="ttdeci">ConstNormalReturnType normal() const</div><div class="ttdef"><b>Definition:</b> Hyperplane.h:159</div></div>
<div class="ttc" id="aclassEigen_1_1Hyperplane_html_a60a39dae40a9b9f76a6993762ba18f45"><div class="ttname"><a href="classEigen_1_1Hyperplane.html#a60a39dae40a9b9f76a6993762ba18f45">Eigen::Hyperplane::offset</a></div><div class="ttdeci">const Scalar &amp; offset() const</div><div class="ttdef"><b>Definition:</b> Hyperplane.h:169</div></div>
<div class="ttc" id="aclassEigen_1_1MatrixBase_html"><div class="ttname"><a href="classEigen_1_1MatrixBase.html">Eigen::MatrixBase</a></div><div class="ttdoc">Base class for all dense matrices, vectors, and expressions.</div><div class="ttdef"><b>Definition:</b> MatrixBase.h:52</div></div>
<div class="ttc" id="aclassEigen_1_1Matrix_html"><div class="ttname"><a href="classEigen_1_1Matrix.html">Eigen::Matrix&lt; Scalar, AmbientDimAtCompileTime, 1, Options &gt;</a></div></div>
<div class="ttc" id="aclassEigen_1_1ParametrizedLine_html"><div class="ttname"><a href="classEigen_1_1ParametrizedLine.html">Eigen::ParametrizedLine</a></div><div class="ttdoc">A parametrized line.</div><div class="ttdef"><b>Definition:</b> ParametrizedLine.h:33</div></div>
<div class="ttc" id="aclassEigen_1_1ParametrizedLine_html_a195f8713ab2ada49a818677b6a8f56a3"><div class="ttname"><a href="classEigen_1_1ParametrizedLine.html#a195f8713ab2ada49a818677b6a8f56a3">Eigen::ParametrizedLine::transform</a></div><div class="ttdeci">ParametrizedLine &amp; transform(const Transform&lt; Scalar, AmbientDimAtCompileTime, Affine, TrOptions &gt; &amp;t, TransformTraits traits=Affine)</div><div class="ttdef"><b>Definition:</b> ParametrizedLine.h:138</div></div>
<div class="ttc" id="aclassEigen_1_1ParametrizedLine_html_a29d75ba8bbc06d40bdfd8b468f1c42f3"><div class="ttname"><a href="classEigen_1_1ParametrizedLine.html#a29d75ba8bbc06d40bdfd8b468f1c42f3">Eigen::ParametrizedLine::transform</a></div><div class="ttdeci">ParametrizedLine &amp; transform(const MatrixBase&lt; XprType &gt; &amp;mat, TransformTraits traits=Affine)</div><div class="ttdef"><b>Definition:</b> ParametrizedLine.h:116</div></div>
<div class="ttc" id="aclassEigen_1_1ParametrizedLine_html_a332f980f0af15646777a876340546401"><div class="ttname"><a href="classEigen_1_1ParametrizedLine.html#a332f980f0af15646777a876340546401">Eigen::ParametrizedLine::squaredDistance</a></div><div class="ttdeci">RealScalar squaredDistance(const VectorType &amp;p) const</div><div class="ttdef"><b>Definition:</b> ParametrizedLine.h:84</div></div>
<div class="ttc" id="aclassEigen_1_1ParametrizedLine_html_a38c62d80ddbd2b530100748426fd0a3f"><div class="ttname"><a href="classEigen_1_1ParametrizedLine.html#a38c62d80ddbd2b530100748426fd0a3f">Eigen::ParametrizedLine::distance</a></div><div class="ttdeci">RealScalar distance(const VectorType &amp;p) const</div><div class="ttdef"><b>Definition:</b> ParametrizedLine.h:92</div></div>
<div class="ttc" id="aclassEigen_1_1ParametrizedLine_html_a6038ca12a214274c2b1e704b297f5853"><div class="ttname"><a href="classEigen_1_1ParametrizedLine.html#a6038ca12a214274c2b1e704b297f5853">Eigen::ParametrizedLine::intersectionPoint</a></div><div class="ttdeci">VectorType intersectionPoint(const Hyperplane&lt; Scalar_, AmbientDim_, OtherOptions &gt; &amp;hyperplane) const</div><div class="ttdef"><b>Definition:</b> ParametrizedLine.h:227</div></div>
<div class="ttc" id="aclassEigen_1_1ParametrizedLine_html_ab588d358f68479862a882fd3ee8b9fe9"><div class="ttname"><a href="classEigen_1_1ParametrizedLine.html#ab588d358f68479862a882fd3ee8b9fe9">Eigen::ParametrizedLine::ParametrizedLine</a></div><div class="ttdeci">ParametrizedLine(const VectorType &amp;origin, const VectorType &amp;direction)</div><div class="ttdef"><b>Definition:</b> ParametrizedLine.h:60</div></div>
<div class="ttc" id="aclassEigen_1_1ParametrizedLine_html_ab6608856794d170ac53219bf71dd8cb5"><div class="ttname"><a href="classEigen_1_1ParametrizedLine.html#ab6608856794d170ac53219bf71dd8cb5">Eigen::ParametrizedLine::ParametrizedLine</a></div><div class="ttdeci">ParametrizedLine(Index _dim)</div><div class="ttdef"><b>Definition:</b> ParametrizedLine.h:55</div></div>
<div class="ttc" id="aclassEigen_1_1ParametrizedLine_html_ac7ee9bfb5ad3f1e750ed95282664cfe7"><div class="ttname"><a href="classEigen_1_1ParametrizedLine.html#ac7ee9bfb5ad3f1e750ed95282664cfe7">Eigen::ParametrizedLine::isApprox</a></div><div class="ttdeci">bool isApprox(const ParametrizedLine &amp;other, const typename NumTraits&lt; Scalar &gt;::Real &amp;prec=NumTraits&lt; Scalar &gt;::dummy_precision()) const</div><div class="ttdef"><b>Definition:</b> ParametrizedLine.h:171</div></div>
<div class="ttc" id="aclassEigen_1_1ParametrizedLine_html_aca7d49e0b073c1a6a7b572ad686366e9"><div class="ttname"><a href="classEigen_1_1ParametrizedLine.html#aca7d49e0b073c1a6a7b572ad686366e9">Eigen::ParametrizedLine::cast</a></div><div class="ttdeci">internal::cast_return_type&lt; ParametrizedLine, ParametrizedLine&lt; NewScalarType, AmbientDimAtCompileTime, Options &gt; &gt;::type cast() const</div><div class="ttdef"><b>Definition:</b> ParametrizedLine.h:153</div></div>
<div class="ttc" id="aclassEigen_1_1ParametrizedLine_html_accb862e4ad30f9e5bd87389c3f38d555"><div class="ttname"><a href="classEigen_1_1ParametrizedLine.html#accb862e4ad30f9e5bd87389c3f38d555">Eigen::ParametrizedLine::pointAt</a></div><div class="ttdeci">VectorType pointAt(const Scalar &amp;t) const</div><div class="ttdef"><b>Definition:</b> ParametrizedLine.h:196</div></div>
<div class="ttc" id="aclassEigen_1_1ParametrizedLine_html_ad2300dd760776c26e96b5b5e129eac2e"><div class="ttname"><a href="classEigen_1_1ParametrizedLine.html#ad2300dd760776c26e96b5b5e129eac2e">Eigen::ParametrizedLine::ParametrizedLine</a></div><div class="ttdeci">ParametrizedLine()</div><div class="ttdef"><b>Definition:</b> ParametrizedLine.h:46</div></div>
<div class="ttc" id="aclassEigen_1_1ParametrizedLine_html_ad6c26492142e8d681d707db7865e822c"><div class="ttname"><a href="classEigen_1_1ParametrizedLine.html#ad6c26492142e8d681d707db7865e822c">Eigen::ParametrizedLine::Through</a></div><div class="ttdeci">static ParametrizedLine Through(const VectorType &amp;p0, const VectorType &amp;p1)</div><div class="ttdef"><b>Definition:</b> ParametrizedLine.h:67</div></div>
<div class="ttc" id="aclassEigen_1_1ParametrizedLine_html_ae34deb1c6e8cd98e31b7b9b5871a1759"><div class="ttname"><a href="classEigen_1_1ParametrizedLine.html#ae34deb1c6e8cd98e31b7b9b5871a1759">Eigen::ParametrizedLine::dim</a></div><div class="ttdeci">Index dim() const</div><div class="ttdef"><b>Definition:</b> ParametrizedLine.h:73</div></div>
<div class="ttc" id="aclassEigen_1_1ParametrizedLine_html_aeb60632eeeb692b0365a4c03ecf0d72c"><div class="ttname"><a href="classEigen_1_1ParametrizedLine.html#aeb60632eeeb692b0365a4c03ecf0d72c">Eigen::ParametrizedLine::Index</a></div><div class="ttdeci">Eigen::Index Index</div><div class="ttdef"><b>Definition:</b> ParametrizedLine.h:42</div></div>
<div class="ttc" id="aclassEigen_1_1ParametrizedLine_html_af6b280f3769b3bf531a4a1d1849d7013"><div class="ttname"><a href="classEigen_1_1ParametrizedLine.html#af6b280f3769b3bf531a4a1d1849d7013">Eigen::ParametrizedLine::ParametrizedLine</a></div><div class="ttdeci">ParametrizedLine(const ParametrizedLine&lt; OtherScalarType, AmbientDimAtCompileTime, OtherOptions &gt; &amp;other)</div><div class="ttdef"><b>Definition:</b> ParametrizedLine.h:161</div></div>
<div class="ttc" id="aclassEigen_1_1ParametrizedLine_html_afbc8c2442060c46c4ab0ec87572cbc9f"><div class="ttname"><a href="classEigen_1_1ParametrizedLine.html#afbc8c2442060c46c4ab0ec87572cbc9f">Eigen::ParametrizedLine::projection</a></div><div class="ttdeci">VectorType projection(const VectorType &amp;p) const</div><div class="ttdef"><b>Definition:</b> ParametrizedLine.h:95</div></div>
<div class="ttc" id="aclassEigen_1_1Transform_html"><div class="ttname"><a href="classEigen_1_1Transform.html">Eigen::Transform</a></div><div class="ttdoc">Represents an homogeneous transformation in a N dimensional space.</div><div class="ttdef"><b>Definition:</b> Transform.h:207</div></div>
<div class="ttc" id="aclassEigen_1_1Transform_html_a10681d9bbc6a7a81a9111b1f9e186948"><div class="ttname"><a href="classEigen_1_1Transform.html#a10681d9bbc6a7a81a9111b1f9e186948">Eigen::Transform::linear</a></div><div class="ttdeci">ConstLinearPart linear() const</div><div class="ttdef"><b>Definition:</b> Transform.h:398</div></div>
<div class="ttc" id="aclassEigen_1_1Transform_html_a539fc3e91b20a43613bfefb8a4fb8a0e"><div class="ttname"><a href="classEigen_1_1Transform.html#a539fc3e91b20a43613bfefb8a4fb8a0e">Eigen::Transform::translation</a></div><div class="ttdeci">ConstTranslationPart translation() const</div><div class="ttdef"><b>Definition:</b> Transform.h:408</div></div>
<div class="ttc" id="agroup__enums_html_gaee59a86102f150923b0cac6d4ff05107"><div class="ttname"><a href="group__enums.html#gaee59a86102f150923b0cac6d4ff05107">Eigen::TransformTraits</a></div><div class="ttdeci">TransformTraits</div><div class="ttdef"><b>Definition:</b> Constants.h:457</div></div>
<div class="ttc" id="agroup__enums_html_ggaee59a86102f150923b0cac6d4ff05107a0872f0a82453aaae40339c33acbb31fb"><div class="ttname"><a href="group__enums.html#ggaee59a86102f150923b0cac6d4ff05107a0872f0a82453aaae40339c33acbb31fb">Eigen::Affine</a></div><div class="ttdeci">@ Affine</div><div class="ttdef"><b>Definition:</b> Constants.h:462</div></div>
<div class="ttc" id="agroup__enums_html_ggaee59a86102f150923b0cac6d4ff05107a84413028615d2d718bafd2dfb93dafef"><div class="ttname"><a href="group__enums.html#ggaee59a86102f150923b0cac6d4ff05107a84413028615d2d718bafd2dfb93dafef">Eigen::Isometry</a></div><div class="ttdeci">@ Isometry</div><div class="ttdef"><b>Definition:</b> Constants.h:459</div></div>
<div class="ttc" id="anamespaceEigen_html"><div class="ttname"><a href="namespaceEigen.html">Eigen</a></div><div class="ttdoc">Namespace containing all symbols from the Eigen library.</div><div class="ttdef"><b>Definition:</b> Core:139</div></div>
<div class="ttc" id="anamespaceEigen_html_a62e77e0933482dafde8fe197d9a2cfde"><div class="ttname"><a href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Eigen::Index</a></div><div class="ttdeci">EIGEN_DEFAULT_DENSE_INDEX_TYPE Index</div><div class="ttdoc">The Index type as used for the API.</div><div class="ttdef"><b>Definition:</b> Meta.h:59</div></div>
<div class="ttc" id="anamespaceEigen_html_af4f536e8ea56702e63088efb3706d1f0"><div class="ttname"><a href="namespaceEigen.html#af4f536e8ea56702e63088efb3706d1f0">Eigen::sqrt</a></div><div class="ttdeci">const Eigen::CwiseUnaryOp&lt; Eigen::internal::scalar_sqrt_op&lt; typename Derived::Scalar &gt;, const Derived &gt; sqrt(const Eigen::ArrayBase&lt; Derived &gt; &amp;x)</div></div>
<div class="ttc" id="astructEigen_1_1NumTraits_html"><div class="ttname"><a href="structEigen_1_1NumTraits.html">Eigen::NumTraits</a></div><div class="ttdoc">Holds information about the various numeric (i.e. scalar) types allowed by Eigen.</div><div class="ttdef"><b>Definition:</b> NumTraits.h:231</div></div>
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